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Finding the Fourth Proportional to 138,406.43, 207,609.65 and 33,225.40

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Solution

The fourth proportional to 138,406.43, 207,609.65 and 33,225.40 is: 49,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406.43 : 207,609.65 = 33,225.40 : x
  2. Step 2: Convert to fraction form
    138,406.43/207,609.65 = 33,225.40/x
  3. Step 3: Cross multiply
    138,406.43x = 207,609.65 × 33,225.40
  4. Step 4: Simplify right side
    138,406.43x = 6,897,913,665.11
  5. Step 5: Solve for x
    x = 6,897,913,665.11/138,406.43
  6. Step 6: Final answer
    x = 49,838.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.